I've always wondered why they don't hire an assistant that JUST does the paperwork/coding for the doctor. They could follow them into room and just take notes (and leave at times when it is appropriate).
How much could it cost to pay someone else to do this? Surely less than a doctor makes doing it... It can become its own profession. It's a separate skill - separate from what a doctor should be focusing on.
On a side note, it seems that a lot of professions would benefit from having an assistant - a thing that seems to have disappeared - if what I've seen in old movies in shows is to be believed. Another side-case of this is the fact that technical people tend to be promoted into management roles and have to deal with attendance and time-sheets - why not have someone else do it? The work only suffers.